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Approximation Schemes for convective term - structured grids - Schemes

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When we shall fill this page, I offer to make common identifications, because in different issues was used different notation.

Also we beg everybody to help me with original works. Later I shall write, what is necessary. If anyone have literature connected with convective schemes, please drop me a line.

We shall be very glad and grateful to hear any critical suggestion (please drop a few lines at Wiki Forum)

It is just a skeleton, but we hope that it will be developed into the good thing


Linear Schemes - structured grids

  • SOU - Second Order Upwind (also LUDS or UDS-2)
  • Skew - Upwind
  • QUICK - Quadratic Upwind Interpolation for Convective Kinematics (also UDS-3 or QUDS)
  • LUS - Linear Upwind Scheme
  • Fromm - Fromm's Upwind Scheme
  • CUDS - Cubic Upwind Difference Scheme (also CUS or UDS-4)
  • CUI - Cubic Upwind Interpolation

Non-Linear QUICK based Schemes - structured grids

  • QUICKER - Quadratic Upwind Interpolation Extended and Revised
  • SMART - Sharp and Monotonic Algorithm for Realistic Transport
  • SMARTER - SMART Efficiently Revised
  • VONOS - Variable-Order Non-Oscillatory Scheme
  • CHARM - Cubic / Parabolic High-Accuracy Resolution Method
  • UMIST - Upstream Monotonic Interpolation for Scalar Transport

Fromm based Schemes - structured grids

  • Fromm scheme
  • MUSCL - Monotonic Upwind Scheme for Conservation Laws
  • van Leer limiter
  • van Albada

Schemes by Leonard - structured grids

Contents [hide]

  • ULTIMATE - Universal Limiter for Transport Interpolation Modelling of the Advective Transport Equation
  • ULTRA-SHARP : Universal Limiter for Thight Resolution and Accuracy in combination with the Simple High-Accuracy Resolution Program (also ULTRA-QUICK)
  • UTOPIA - Uniformly Third Order Polynomial Interpolation Algorithm
  • NIRVANA - Non-oscilatory Integrally Reconstructed Volume-Avaraged Numerical Advection scheme
  • ENIGMATIC - Extended Numerical Integration for Genuinely Multidimensional Advective Transport Insuring Conservation
  • MACHO : Multidimensional Advective - Conservative Hybrid Operator
  • COSMIC : Conservative Operator Splitting for Multidimensions with Internal Constancy
  • QUICKEST - Quadratic Upstream Interpolation for Convective Kinematics with Estimated Streaming Terms
  • AQUATIC - Adjusted Quadratic Upstream Algorithm for Transient Incompressible Convection
  • EXQUISITE - Exponential or Quadratic Upstream Interpolation for Solution of the Incompressible Transport Equation

Other Schemes (unclassified) - structured grids

reference shablon

SMITH (3000), "XXX", XXX.

My wiki